12829051468800 has 2112 divisors, whose sum is σ = 60017122944000. Its totient is φ = 2614288711680.

The previous prime is 12829051468771. The next prime is 12829051468841. The reversal of 12829051468800 is 886415092821.

12829051468800 is a `hidden beast` number, since 1 + 28 + 29 + 0 + 514 + 6 + 8 + 80 + 0 = 666.

12829051468800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1562799096 + ... + 1562807304.

Almost surely, 2^{12829051468800} is an apocalyptic number.

12829051468800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12829051468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008561472000).

12829051468800 is an abundant number, since it is smaller than the sum of its proper divisors (47188071475200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12829051468800 is a wasteful number, since it uses less digits than its factorization.

12829051468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8291 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 12829051468800 in words is "twelve trillion, eight hundred twenty-nine billion, fifty-one million, four hundred sixty-eight thousand, eight hundred".